Given that A= -2 y 0 1 4]. 8-133³5₁), and C= B = [ x -5 matrix 2C - BT+A, if defined. 2 5 7 -6 Z -4 9 mss find the entry in row 1, column 2 of the

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Q: Question 13 Write a system of equations to model the problem. Be sure to define your vairables.…

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: 2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

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Q: How much monthly deposit into a sinking fund at 8.5% compounded monthly will be needed to accumulate…

A: Please check step 2 for solution.

Q: Find the radius of convergence, R, of the series. xn R = 8 Σ n = 1 I = 1.3.5 (2n-1) Find the…

A: A series ∑n=1∞an will be convergence  If L=limn→∞an+1an<1

Q: 22. Let d = gcd(a, b). Prove that ged(a/d, b/d) = 1. Fl of th om of congruences

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Q: (jw+4) (jw+3) (jw+2) (jw+3) + B (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: Introduction: The partial fraction decomposition is a method to simply a fraction that is written as…

Q: Find the exact value of the following double integrals: a. S² S/² √ysin(y) dydx Ꮭ Hint: Switch order…

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Q: Write the given system in the matrix form x' = Ax+f. r(t)=9r(t) + cost e(t)=r(t)-20(t)-4 Express the…

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Q: 10) Given the graph of f(x), graph g(x) = -f(x-2)-3

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Q: proof by contraposition: if x is a prime number >= 5, then either 3 | (x+2) or 3 | (x-2)

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Q: Find the solution of the given initial value problem: y"" + y = sec(t), y(0) = 11, y'(0) = 5, y"(0)…

A: General solution of differential equation of the form d3ydt3+Pd2ydt2+Qdydt+Ry=g(t), where P,Q,R are…

Q: Romberg integration for approximating f f(x) dx gives R21 then f(2)= -3.75 -5 5 = -1 and R₂2 = 6

A: Romberg integration for approximation ∫04fxdx gives R21=−1 and R22=6. We have to find the f2. Here,…

Q: Compute the gradient of the following function and evaluate it at the given point P.…

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Q: R→T T :. P ¬Q) → (RAS) 1 2 3 4 5 7 8 9 STATEMENT R→ T (¬PV ¬Q) → (RAS) ¬RV¬S ¬¬PV¬Q) REASON…

A: I shall solve in details in next step

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Q: y' - 2x = -e-t; y(0) = 2

A: y' - 2y = - e-t, y(0) = 2 Thia is a linear differential equation of first order  Integrating factor…

Q: Theorem: If P is the transition matrix from a basis B' to a basis B, then P is invertible and the…

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Q: dx S Jo 16+x²

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Q: . (a) How many quadratic residues are in the residue set Z19? (b) Determine if 4 and 9 are quadratic…

A: Introduction: Quadratic residue is related to congruent modulo theory. Since, it deals with…

Q: Solve the initial value problem y" + 4y' — 12y = 0, y(0) = a, y′(0) = 60. Find a so that the…

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Q: Which of the following subsets of R³×3 are subspaces of R³×³? A. The non-invertible 3 x 3 matrices…

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Q: An objective function model is given by m_k (x) = x_1^2 + Find the two-dimensional subspace 5x 2^2 +…

A: Given that: mkx=x12+5x22+x32+x42+4x4 The objective is to determine the two-dimensional subspace…

Q: (jw+4) (jw+3) (jw+2) A (jw+3) + B (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

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Q: Find Ix, ly and I。 for the first-quadrant area outside the circle r = 2a and inside the circle r =…

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Q: The integral of the right hand member of the first order LDE A B C с D -2sin³0 3 COS 2 2sin³0 3 sin…

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: For each A, B, C below, determine whether {A, B, C) is is linearly independent or linearly…

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Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: For each of the following, either provide all such geometric objects, or explain why none exist. a)…

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Q: @ Determine if the following series is convergent on divergent ntl ² حل Σ (-1) n=t ²³+4

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Q: A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held…

A: Let x(t) be the mass of salt in the tank at the time t.xi(t) be the amount of solution coming in to…

Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 8 Σ n = 1 I = 10 Find the…

A: Here we use the root test to determine the radius of convergence and interval of convergence of the…

Q: ped Given f(x, y) = m (x,y) (the quadratic Taylor expansion used in trust region methods, x^2y^2 +…

A: Given that: fx,y=x2y2+x2+y2, at 0.1,0.2 The objective is to determine the value of mx,y and rho. Now…

Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: Find the eigenvalues and eigenvectors of the given matrix. 18 3 6-1 The eigenvalue(s) is/are…

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Q: 7. Prove that a permutation in S. n ≥ 2, cannot be both even and odd.

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Q: If angle D measures 5(8x + 5) degrees, and angle B is 345 degrees, what is ? X =

A: angle D and Angle B are same  therefore  5(8x+5)=345 (8x+5)=345/5 8x+5=69 8x=69-5 8x=64 x=64/8 x=8

Q: Use the method of Lagrange multipliers to find the absolute minimum and the absolute maximum of the…

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Q: Find the general solution of the following differential equation. y" + 11y' + 30y NOTE: Use c₁ and…

A: Given differential equation is y'' + 11y' + 30y = 0

Q: Find a cycle in the graph K₁ and reduce the flow by 1 on each edge. Show that the flow in and out of…

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Q: Two numbers when multiplied equals 104.  one number is x and the other number is greater than x by 5…

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Q: The equation (tan²x+3y²)sec²xdx + (3tan²x + y²)dy=0 can be solved by

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Q: Exercise 13. Show the following results. 1/sin z 1 + tan x (a) lim I-0 1+tanhr = 1 (b) | lim(2* +3*…

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Q: 4. Let A be a set of real numbers such that inf{a1a2a1, a2 € A a1 # a2} > 0. Prove that every Cauchy…

A: Given :  A be a set of real numbers such that ;   infa1-a2 : a1, a2 ∈A, a1≠a2 > 0 To prove :…

Q: 17. Compute d = ged(28, 124). Find integers x, y so that 28x + 124y = d. 18. Find the order of the…

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Q: Can

A: We use Cauchy's Residue Theorem